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Analog Electronics Basic Op-Amp Applications - LIGO

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5.9. GENERALIZED IMPEDANCE CONVERTER (GIC) 121<br />

5.9 Generalized Impedance Converter (GIC)<br />

A<br />

+<br />

−<br />

Z 1<br />

Z 2<br />

Z 3<br />

+<br />

−<br />

Z 4<br />

Z 5<br />

A<br />

Z<br />

Figure 5.14: Generalized Impedance Converter (GIC).<br />

The fundamental equation of the GIC, which can be found after tedious<br />

calculation, is<br />

Z = Z 1Z 3 Z 5<br />

Z 2 Z 4<br />

By a careful choice of passive components, one can implement types<br />

of impedance with values impossible to attain with standard passive components.<br />

This holds true where the <strong>Op</strong>-<strong>Amp</strong>s behave very closely to ideal<br />

<strong>Op</strong>-<strong>Amp</strong>s and if one lead of Z is grounded. For example, we can make:<br />

• C to L converter and vice versa,<br />

• LC parallel to LC series and vice versa,<br />

• impedance scaler<br />

• negative resistance<br />

DRAFT

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